Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 53. Dic298 | Q16 | semidirect |
| 80. C149 | #3395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750353 | 2 |
| #23750005 | 2 |
| #23750003 | 2 |
| #23749835 | 2 |
| #23749834 | 2 |
| C8×Dic298 | 2 |
| #23749719 | 2 |
| C4×Q16×C149 | 2 |
| #3395 | 149 |